Decimation limits of principal algebraic ${\mathbb{Z}}^d$-actions

Elizaveta Arzhakova, Douglas Lind, Klaus Schmidt +1

Let $f$ be a Laurent polynomial in $d$ commuting variables with integer coefficients. Associated to $f$ is the principal algebraic ${\mathbb{Z}}^d$-action $\hat{I}{\pm }_f$ on a compact subgrou…